Journal of East China Normal University(Natural Sc ›› 2012, Vol. 2012 ›› Issue (5): 63-68.

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Energy decay estimation for the nonlinear viscoelastic equation with nonlinear second-order boundary damping

LU Jun 1,  ZHANG Hong-wei 2   

  1. 1. Department of Mathematics, Zhengzhou Normal University, Zhengzhou  450044, China; 2. Department of Mathematics, Henan University of Technology, Zhengzhou  450001, China
  • Received:2011-11-01 Revised:2012-02-01 Online:2012-09-25 Published:2012-09-29

Abstract: The exponential decay estimation of the energy for the nonlinear viscoelastic equation with general damped term was obtained by using Nakao's inequality, and the algebra decay estimation of the energy for the equation with polynomial damped term was given by the same inequality.

Key words: energy decay, nonlinear viscoelastic, nonlinear second-order boundary damping equation, Nakao's inequality

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